Solution of the time-dependent Schrödinger equation with absorbing boundary conditions

The performances of absorbing boundary conditions (ABCs) in four widely used finite difference time domain (FDTD) methods, i.e. explicit, implicit, explicit staggered-time, and Chebyshev methods, for solving the time-dependent Schrodinger equation are assessed and compared. The computation efficienc...

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Bibliographic Details
Published in:Journal of semiconductors 2009-01, Vol.30 (1), p.012001-012001 (6)
Main Authors: Zhidong, Chen, Jinyu, Zhang, Zhiping, Yu
Format: Article
Language:English
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Summary:The performances of absorbing boundary conditions (ABCs) in four widely used finite difference time domain (FDTD) methods, i.e. explicit, implicit, explicit staggered-time, and Chebyshev methods, for solving the time-dependent Schrodinger equation are assessed and compared. The computation efficiency for each approach is also evaluated. A typical evolution problem of a single Gaussian wave packet is chosen to demonstrate the performances of the four methods combined with ABCs. It is found that ABCs perfectly eliminate reflection in implicit and explicit staggered-time methods. However, small reflection still exists in explicit and Chebyshev methods even though ABCs are applied.
ISSN:1674-4926
DOI:10.1088/1674-4926/30/1/012001